PHOLDERSMOOTH2D

compute local holder smoothness of a image

Contents

DESCRIPTION

ALPHA = PHOLDERSMOOTH2D(IMG,POINT,RADIUS)
comput the holder regularity of an image at point u0=(x0,y0)
model: |I(u)-I(u0)|<C|u-u0|^\alpha.
use least square fit for log(|I(u)-I(u0)| = logC + alpha *log|u-u0|
Input
    img     - Image
    (x0,y0) - location
     radius - radius
Ouput
    alpha - local holder smoothness

EXAMPLE

      [X,Y] = GetShearlet(256,8,4,1,3,0);
      alpha = pHolderSmooth2D(X,129,129,3)

Decomposition of high-frequency part...
scale = 4, Number of Tiles = 33
scale = 3, Number of Tiles = 17
scale = 2, Number of Tiles = 9
scale = 1, Number of Tiles = 5
scale = 0, Number of Tiles = 3
scale = -1, Number of Tiles = 1
Decomposition of low frequency part...
Done!
Reconstruction from high-frequency part...
scale = 4, Number of Tiles = 33
scale = 3, Number of Tiles = 17
scale = 2, Number of Tiles = 9
scale = 1, Number of Tiles = 5
scale = 0, Number of Tiles = 3
scale = -1, Number of Tiles = 1
Reconstrucion from low frequency part...
Done!

alpha =

    1.7295

See also

GETSHEARLET

Copyright

 Copyright (C) 2011. Xiaosheng Zhuang, University of Osnabrueck

Published with MATLAB® 7.10